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Very unlikely this series has a closed form. Factorials/gamma functions in integrals, especially in denominators of integrals, are difficult to evaluate in general.

It is best to proceed in the direction of a motivating problem which applies integration in its solution, or to build a problem on the back of techniques already well-studied.

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

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## Comments

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TopNewest@Tanishq Varshney,@Otto Bretscher,@Brian Charlesworth,@Michael Mendrin,@Aditya Kumar

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@Jake Lai

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Very unlikely this series has a closed form. Factorials/gamma functions in integrals, especially in denominators of integrals, are difficult to evaluate in general.

It is best to proceed in the direction of a motivating problem which applies integration in its solution, or to build a problem on the back of techniques already well-studied.

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@Pi Han Goh

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What have you tried? What makes you think there's a closed form?

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I don't know I just made this problem and asked my school teacher, she said it was pretty tough. So I asked for help.

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Not all series /integrals has a nice closed form.

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this

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I'm currently busy now. Ty using the infinite product of gamma(x+2)

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@Jonas Katona

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